An activation function is a mathematical function that is used to determine the output of a neuron in a neural network. The purpose of an activation function is to introduce non-linearity into the network so that it can learn more complex patterns.

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## Introduction

Activation functions are a crucial element of deep learning networks. Simply put, an activation function is a mathematical “gate” that decides whether a neuron should be triggered or not. In other words, it allows the network to learn which features are important and which can be ignored.

There are several different types of activation functions, but the most common ones are ReLU (rectified linear unit), sigmoid, and tanh (hyperbolic tangent).

ReLU is the most widely used activation function in deep learning. It is a linear function that outputs 0 if the input is less than 0 and outputs the input x if x is greater than or equal to 0.

Sigmoid activation functions have been used in deep learning for a long time, but they are slowly being replaced by ReLU because they can cause what is known as the “vanishing gradient problem.” The vanishing gradient problem occurs when the derivative of the activation function approaches 0, which makes it very difficult for the network to learn.

Tanh activation functions are similar to sigmoid activation functions, but they have a mean of 0 instead of 0.5. This can be helpful for certain types of problems, but in general, ReLU is a better choice.

## What is an Activation Function?

In artificial neural networks, the activation function of a node defines the output of that node given an input or set of inputs. A standard linear perceptron calculates a weighted sum of its inputs and outputs either a 0 or 1 depending on whether that sum exceeds some threshold. In contrast, most activation functions used in deep learning are nonlinear, in order to better learn complex patterns.

The types of activation functions used in deep learning include:

-Rectified Linear Unit (ReLU): The ReLU function outputs 0 for any input less than 0 and outputs the input value x for any input x greater than or equal to 0. This function has become the default choice in many deep learning architectures because it alleviates the vanishing gradient problem.

-Sigmoid: The sigmoid function outputs values between 0 and 1 for all inputs and produces smooth gradients, which can facilitate training. However, sigmoids saturate at high values and have very small gradients near 0 and 1, which can impede training. In addition, sigmoids are not zero-centered, which can cause issues with training. For these reasons, sigmoids are less popular than ReLUs in deep learning architectures.

-Hyperbolic Tangent (Tanh): The Tanh function is very similar to the sigmoid function but is zero-centered, which can be advantageous for training. However, like the sigmoid function, Tanh saturates at high values and has small gradients near the saturation points, which can impede training. For these reasons, Tanhs are also less popular than ReLUs in deep learning architectures.

## The Need for an Activation Function

In any Neural Network, the Activation Function is responsible for mapping the input signal to the output signal. In effect, it decides whether a neuron should be activated or not. For example, in a Binary Classification problem, we would want our activation function to map all inputs corresponding to Class-1 to 1, and all inputs corresponding to Class-2 to 0.

An activation function is important because it introduces non-linearity into our network. This is critical because without non-linearity, our Neural Network would be nothing more than a Linear Regression model, and we know that those are not very effective at solving most real-world problems.

There are several activation functions that are commonly used in Deep Learning, such as Sigmoid, Tanh, ReLU, Leaky ReLU etc. The choice of activation function depends on various factors, such as the type of problem being solved (classification or regression), the nature of the data (linear or non-linear), among other things.

In general, the ReLU activation function is used in most hidden layers of a Deep Neural Network because it is computationally efficient and has shown to lead to better performance on many tasks.

## Types of Activation Functions

There are several types of activation functions that can be used in deep learning networks, each with its own advantages and disadvantages. The most common activation functions are sigmoid, tanh, and ReLU.

Sigmoid activation functions are used in many popular deep learning models, such as the multilayer perceptron (MLP) and the artificial neural networks (ANNs). Sigmoid functions squish values between 0 and 1, which has the advantage of creating a smooth gradient that is easy to optimize. However, sigmoid functions can cause vanishing gradients, which can make training deep neural networks difficult.

Tanh activation functions are similar to sigmoid functions, but they squish values between -1 and 1 instead of 0 and 1. This has the advantage of keeping the gradient non-zero for longer, which can help training deep neural networks. However, tanh activations can still suffer from vanishing gradients.

ReLU (rectified linear unit) activation functions are used in many state-of-the-art deep learning models. ReLU activations map all negative values to 0 and all positive values to 1. This has the advantage of being computationally efficient and not suffering from vanishing gradients. However, ReLUs can cause issues with training if they are not used carefully because they can create dead units that always output 0.

## How to Choose an Activation Function?

An activation function is a function that is used to calculate the output of a neuron. This function determines whether a neuron should be activated or not. There are various activation functions that can be used, and the choice ofactivation function can have a significant impact on the performance of a neural network.

When choosing an activation function, there are several factors to consider, such as:

-The nature of the data being processed

-The desired output of the neural network

-The computational resources available

Some common activation functions include sigmoid, tanh, and ReLU.

## Summary

An activation function is a mathematical “switch” that turns a neuron “on” or “off.” It allows machine learning models to simulate a biological neural network. Activation functions are a key component in deep learning. Without them, deep learning could not exist.

There are several different types of activation functions, but the most common are sigmoid, rectified linear unit (ReLU), and hyperbolic tangent (tanh).

Sigmoid activation functions are used in logistic regression and artificial neural networks. They map input values to output values that fall within a given range, typically 0 to 1. This allows them to predict probability.

ReLU activation functions are used in convolutional neural networks. They map input values to output values that fall within a given range, typically 0 to 1. This allows the model to more easily learn complex patterns.

Hyperbolic tangent activation functions are used in artificial neural networks. They map input values to output values that fall within a given range, typically -1 to 1. This allows the model to learn complex patterns more easily.

## Further Reading

If you want to learn more about activation functions, we recommend these additional resources:

-A guide to activation functions for beginners (https://towardsdatascience.com/a-guide-to-activation-functions-neural-networks-341f3fae1553)

-The relationship between activation functions and loss functions (http://ruder.io/activation-functions/)

-A comparison of popular activation functions (https://medium.com/@danqing/a-practical-guide-to-activations-in-neural-networks-encyclopedic overview of common activation functions介绍了一些常见的激活函数 )

## References

There are a few common activation functions that are often used in deep learning networks, such as sigmoid, tanh, and ReLU. Each has its own pros and cons, and the choice of which to use depends on the specific task at hand.

Sigmoid:

A sigmoid function is a mathematical function that takes in an input value and returns an output value between 0 and 1. This output value can be interpreted as a probability, so sigmoid activation functions are often used in classification tasks. The main advantage of using a sigmoid activation function is that it squashes input values into a small range, which can help prevent numerical instability. However, one downside is that sigmoid activation functions can be slow to convergence if the input values are not already close to the desired outputs.

Tanh:

A tanh function is similar to a sigmoid function, but it squashes input values into a range between -1 and 1 instead of 0 and 1. This can help the network learn faster since the input values are already closer to the desired outputs. However, one downside of using a tanh activation function is that it can suffer from the same slow convergence problem as sigmoid activation functions if the input values are not already close to the desired outputs.

ReLU:

A rectified linear unit (ReLU) is a type of activation function that thresholds input values at 0; any input values less than 0 are set to 0, while any input values greater than or equal to 0 remain unchanged. ReLU activation functions are often used in image recognition tasks since they tend to converge faster than other types of activation functions. However, one downside of using ReLU activation functions is that they can suffer from “dead neurons” if too many input values are set to 0; this can lead to decreased performance on some tasks.

## About the Author

I am a data scientist and I work in the field of deep learning. In this article, I will explain what an activation function is in deep learning.

An activation function is a mathematical function that is used to map input values to output values. The output values are usually between 0 and 1, but they can also be between -1 and 1. Activation functions are used in neural networks to determine the output of a neuron.

The most common activation function is the sigmoid function. The sigmoid function maps any real number to a value between 0 and 1. This makes it ideal for use in neural networks, because it can be used to represent probabilities.

Other activation functions include the rectified linear unit (ReLU) and the leaky ReLU. The ReLU is a linear function that outputs 0 for all negative input values and outputs the positive input values unchanged. The leaky ReLU is similar to the ReLU, but it outputs a small non-zero value for all negative input values.

activation functions are used in deep learning because they help Neural Networks to learn complex patterns in data.

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Keyword: What is an Activation Function in Deep Learning?